FIITJEE PET I (REG_2 ND YEAR)

Transcription

1 FIITJEE PET I (REG_ ND YEAR) MAINS_SET A DATE: Time: 3 hours Maximum Marks: 360 INSTRUCTINS: Instructions to the Candidates 1. This Test Booklet consists of 90 questions. Use Blue/Black ball Point Pen only for writing particulars and bubbling of MR.. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted. 3. Attempt all questions. 4. In case you have not darkened any bubble you will be awarded 0 mark for that question. 5. Use of calculator/logarithmic table is not permitted. Don t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam. NAME: ENRLLMENT N.:

2 PET-I ( ND YEAR)-019-MPC- 1. The coefficient of x 7 in the expansion of (1 x x + x 3 ) 6 is (C) 144 (D) 13. The coefficient of x n in expansion of (1 + x)(1 x) n is (n 1) ( 1) n 1 n (C) ( 1) n 1 (n 1) (D) ( 1) n (1 n) 10 x 3 3. Which term of is independent of x 3 x 3 (C) 4 (D) 7 x 1 x 1 4. The term independent of x (x > 0, x 1) in the expansion of / 3 1/ 3 x x 1 x x (C) 315 (D) is 3 is 1/ 5 5. The sum of the rational terms in the expansion of (C) 50 (D) none of these 6. If the coefficients of r th term and (r + 1) th term in the expansion of (1 + x) 0 are in the ratio 1 :, then r = 6 7 (C) 8 (D) 9 7. If the coefficients of x 3 and x 4 in the expansion of (1 + ax + bx ) (1 x) 18 in powers of x are both zero, then (a, b) is equal to , 3 16, 3 (C) 16, 3 (D) 14, 3 8. The numerically greatest term of (3x + y) 11 when x = 3, y = 3 4 is 10 C C (C) 11 C (D) 11 C The value of the greatest term in 0 C C is (C) 15 C 6 3 (D) none of these

3 PET-I ( ND YEAR)-019-MPC The coefficient of the middle term in the binomial expansion in powers of x of (1 + x) 4 and of (1 x) 6 is the same if = (C) (D) The number of nonzero terms in the expansion of is (C) 51 (D) If 4 15 n = I + F when I, n are positive integers, 0 < F < 1, then (I + F)(I F) = 0 1 (C) 1 (D) 13. If the coefficient of (r + 4) th term is equal to the coefficient of (r ) th term in the expansion of (1 + x) 18, then r = 4 (C) 6 (D) The coefficient of x 4 in the expansion of (1 + x ) 1 (1 + x 1 ) (1 + x 4 ) is 1 C 6 1 C 6 + (C) 1 C (D) 1 C The greatest binomial coefficient of (x 1/3 + 3x 7/ ) 31 is equal to the coefficient of x k in the expansion of (1 + x) 31. Then k = 13, 14 14, 15 (C) 15, 16 (D) 16, If the fourth term in the expansion of x 1 1 logx1 1 x 6 is equal to 00 and x > 1, then x = (C) 1 (D) 17. If T r denotes the r th 1 term in the expansion of x, then y T 1 = T 13 x T 13 = T 1 (C) T 1 = xy. T 13 (D) T 1 + T 13 = The coefficient of x 50 in the expansion of S = (1 + x) (1 + x) x (1 + x) x 1000 is 1000 C C 50 (C) 100 C 50 (D)

4 PET-I ( ND YEAR)-019-MPC-4 a 19. If the sum of middle terms is S in the expansion of a, then the value(s) of S is/are a (8 a) a (8 a) (C) a (8 a) (D) a (8 a) 3 0. The positive value of a so that the coefficients of x 5 and x 15 are equal in the expansion of 1 1 (C) 1 (D) x a 3 x The coefficient of x m in (1 + x) p + (1 + x) p (1 + x) n, p m n is n + 1 C m + 1 n 1 C m 1 (C) n C m (D) n C m +_1. The value of x, for which the 6 th x1 log term in the expansion of (1/ 5) x1 log 3 1 equal to 4 3 (C) (D) 1 7 is 84 is 3. The coefficient of a 8 b 4 c 9 d 9 in the expansion of (abc + abd + acd + bcd) 10 is 10! 10! (C) 50 (D) None of these 8! 4!9!9! 4. The greatest value of the term independent of x, as varies over R, in the expansion of 0 sin xcos x is 0 C 10 0 C 15 (C) 0 C (D) 0 1 C is The number of rational terms in the expansion of 36 1 (C) 3 (D) 4 6. The coefficient of x 5 in (1 + x ) 5 (1 + x) 4 is (C) 60 (D) 55

5 PET-I ( ND YEAR)-019-MPC The term independent of x in the expansion of (1 + x + x 3 3x 1 ) is 3x 1/3 1/4 (C) 17/54 (D) 19/54 8. If n = R and F = R [R], where [R] denotes the greatest integer less than or equal to R, then RF = 4 n n 1 (C) 0 n + 1 (D) 0 n 1 9. The middle term of (1 3x + 3x x 3 ) n is 6n C 3n ( x) 3n n C n ( x) 3n (C) 5n C n ( x) 3n (D) 4n C 3n ( x) 3n 30. Number of term in expansion of (x + y + z) 1 is (C) 98 (D) none of these 31. In a certain region of space, the potential is given by : V k x y z. The electric field at the point (1,1,1) has magnitude = k 6 k 6 (C) k 3 (D) 4k 3 3. A wheel having mass m has charges +q and q on diametrically opposite point. It remains in equilibrium on a rough inclined plane in the presence of uniform vertical electric field E = mg q (C) mgtan q mg q (D) None 33. Two particles X and Y, of equal mass and with unequal positive charges, are free to move and are initially far away from each other, With Y at rest, X begins to move towards it with initial velocity u. After a long time, finally X will stop, Y will move with velocity u X and Y will both move with velocities u/ each (C) X will stop, Y will move velocity <u (D) both will move with velocities < u/.

6 PET-I ( ND YEAR)-019-MPC Two equal negative charges are fixed at the points [0,a] and [0,-a] on the y axis. A positive charge Q is released from rest at the point [a,0] on the x axis. The charge Q will execute simple harmonic motion about the origin move to the origin and remain at rest (C) move to infinity (D) execute oscillatory but not simple harmonic motion 35. The charge per unit length of the four quadrant of the ring is,, and respectively. The electric field at the centre is (C) î R 0 0 î 4 R R 0 (D) None ĵ 36. The equation of a an equipotential line in electric field is y = x, then the electric field strength vector at (1,) may be 4i ˆ 3j ˆ 4i ˆ 8j ˆ (C) 8i ˆ 4j ˆ (D) 8i ˆ 4j ˆ 37. Two point charges placed at a distance r in air exert a force F on each other. The value of distance R at which they experience force 4F when placed in a medium of dielectric constant K = 16 is : r r/4 (C) r/8 (D) r 38. Two point charges of the same magnitude and opposite sign are fixed at points A and B. A third small point charge is to be balanced at point P by the electrostatic force due to these two charges. The point P: lies on the perpendicular bisector of line AB is at the mid point of line AB (C) lies to the left of A (D) none of these.

7 PET-I ( ND YEAR)-019-MPC If a positively charged pendulum is oscillating in a uniform electric field as shown in Figure. Its time period of SHM as compared to that when it was uncharged. Will increase Will decrease (C) Will not change (D) Will first increase then decrease 40. The variation of potential with distance r from a fixed point is shown in Figure. The electric field at r = 5 cm, is: (.5) V/cm (.5) V/cm (C) ( /5) V/cm (D) (/5) V/cm 41. You are given an arrangement of three point charges q, q and xq separated by equal finite distances so that electric potential energy of the system is zero. Then the value of x is : /3 1/3 (C) /3 (D) 3/ 4. An equipotential surface and a line of force : never intersect each other intersect at 45º (C) intersect at 60º (D) intersect at 90º 43. The potential difference between points A and B in the given uniform electric field is : Ea E a b (C) Eb (D) Eb / 44. The dimensional formula of potential is MLT-Q-1 (C) MT-Q- MLT-Q-1 (D)MLT-1Q-1

8 PET-I ( ND YEAR)-019-MPC Figure represents a square carrying charges +q, +q, q, q at its four corners as shown. Then the potential will be zero at points A, B, C, P and Q A, B and C (C) A, P, C and Q (D) P, B and Q 46. Charge Q and Q are placed as shown in figure. The point at which electric field intensity is zero will be: Somewhere between Q and Q Somewhere on the left of Q (C) Somewhere on the right of Q (D) Somewhere on the right bisector of line joining Q and Q 47. Two charges are placed as shown the medium has dielectric constant Force on q1 is r k r qq 1 r kq1q Force on q is r (C) Force experienced by both charges is equal in magnitude (D) Both charges will apply equal and opposite force on each other. q q1 r.

9 PET-I ( ND YEAR)-019-MPC In which of the following cases, Equilibrium of charge placed at centre is stable (given the direction of oscillation)? +q -Q +q -q -Q -q -q -Q -q (C) None (D) 49. Find the force on 6.5 C charge placed at (3,1,5) due to -C charge placed at (0,5,-7) k ˆ ˆ ˆ k 3i 4j 1k 3i ˆ 4j ˆ 1kˆ k (C) ˆ ˆ ˆ k 3i 4j 1k 3i ˆ 4j ˆ 1kˆ (D) 50. Two spheres of mass m each and charge q are suspended as shown in fig (i). Another pair of charges q and -3q of same mass m are suspended as shown in fig (ii). X and Y are point below and ' such that B and respectively. The ratio BX CY equals. 9 1/9 (C) 3 (D) 1/3 ' Care perpendicular to BX and CY A q,m X r B q,m ' Y C q,m r -3q,m D

10 PET-I ( ND YEAR)-019-MPC If the charge q is projected as shown in figure, in the given constant Electric field, What will be its most likely path. E -q. u z (C) (D) 5. Two small identical spheres having charges +10C and 90C attract each other with a force of F Newton. If they are kept in contact and then separated by the same distance, the new force between them is F/6 16F (C) 16F/9 (D) 9F

11 PET-I ( ND YEAR)-019-MPC A ring of charge(uniformly distributed) with radius 0.5 m having a 0.0 m gap, carries a charge of +1 C. The field at the center is N/C (C) N/C N/C (D) N/C x x x x x x x x x x x x x 54. Two metal sphere of same mass are suspended from a common point by a light insulating string. The length of each string is same. The spheres are given electric charges +q on one end and +4q on the other. Which of the following diagram best shows the resulting positions of spheres?(neglect mass of the charges) +q +4q +q +4q +q +4q +4q 1 +q (C) (D) 55. Four charges equal to Q are placed at the four corners of a square and a change q is at its centre. If the system is in equilibrium, the value of q is Q Q Q Q (1 ) (1 ) (C) (1 ) (D) (1 ) Infinite charges of magnitude q each are lying at x = 1,, 4, 8. metre on axis. The value of intensity of electric field at point x = 0 due to these charges will be qn/c zero (C) qn/c (D) qn/c Two charges each equal to q 3 are placed at the corners of an equilateral triangle of side a. The electric field at the third corner is E3 where (E0 q/ 4 0a ) E3 E0 E3 E0 (C) E3 E0 (D) None 58. A non conducting ring of radius 0.5 m carries a total charge of C distributed non uniformly on its circumference producing an electric field E every where in space. The value of the 0 Ed line integral ( 0 being centre of the ring) in volt is + 1 (C) (D) Zero

12 PET-I ( ND YEAR)-019-MPC Equipotential surfaces are shown in figure. Then the electric filed strength will be Vm along X axis 100 Vm alongy axis (C) 1 00 Vm at angle 10 0 with X axis (D) 1 50Vm at an angle 0 10 with X axis 60. A body of mass one gram and carrying a charge 10 8 C passes through two points P and Q. The electrostatic potential at Q is zero volt. The velocity of the body at Q is 0. ms 1 and at P is 0.08 ms 1. The potential at P is 150 V 300 V (C) 600 V (D) 900 V 61. Which of the following alcohol is less soluble among the following Methanol Ethanol (C) Propanol (D) Butanol 6. Which of the following does not give alcohol as a product NaBH4 aq.na CH3 CH CH CH RI aq. NaN /HCl H 3 (C) Ph CH NH (D) R Mgx 63. Alcohol with high B.P among the following n butanol (C) butanol Isobutanol (D) n pentanol 64. Ph CH CH3 can be prepared by Ph CH CH3MgCl CH3CH PhMgBr Ph CH CH MgCl 3 (D) All (C) Na/CH CH3 C CH5? CH 3 CH (C) CH 3 C 3 H 7 (D) both b & C

13 PET-I ( ND YEAR)-019-MPC-13 dil. HCl 66. Ethene A B. Ag/ B =? Ethanol (C) Ethanal Ethene, 1, diol (D) Epoxyethane 67. Which of the following is the best method to convert 3 methyl but 1 ene to 3 methyl but ol ACH HB (C) MDM (D) All 68. (i) LilAlD 4? (ii) H 3 + D (C) (D) Any of these 69. Et 1 Eq. LiAlH 4? Et (C) Et (D) Both b & c 70. Bayer's reagent? The no. of chiral carbons present in the product is 0 1 (C) (D) 3

14 PET-I ( ND YEAR)-019-MPC Which of the following plyhydric alcohol Ethanol Glycol (C) Sabitol (D) All 7. How many of the following are 1 alcohol 1. Benzyl alcohol. allyl alcohol 3. Isobutanol 4. Cyclohexanol 5. Methanol 3 4 (C) 5 (D) 73. Which of the following statement is correct regarding boiling point of alcohols. It is directly proportional to molecular weight It is directly proportional to no. of groups (C) It is Inversely proportional branching for same molecular weight (D) All 74. (i) B D 6 /THF 18 (ii) H / 18 D D 18 D (C) (D) None 75. Ethyl alcohol is a commercial alcohol and is made unfit for drinking by adding CuS 4 N (C) both a & b (D) acetone

15 PET-I ( ND YEAR)-019-MPC-15 HN 76. R NH R. Here R could be CH CH 3 (C) (D) All 77. C LiAlH4 A The no. of hydrogens added in the product A is equal to 6 4 (C) (D) CH 3 C CH C C H 5 [H] CH 3 CH CH CH The reducing agent suitable for above transformation is NaBH 4 LiAlH 4 (C) H /Ni, (D) Both B & C

16 PET-I ( ND YEAR)-019-MPC Which of the following reactions yield primary alcohol? CH 3 CH + CH 3 MgX CH PCC CH Cl (C) CH 3 C(CH 3 ) = CH BH 6 / THF H / (D ) CH 3 CH CH Cl Alc. K 80. How many Isomeric alcohols with molecular formula C 4 H 10 are chiral in nature? 1 (C) 3 (D) Epoxides react with Grignard reagent to form 1 o alcohols o alcohols (C) 3 o alcohols (D) Any of these 8. Which of the following reacts with excess methyl magnesium bromide followed by acid hydrolysis to produce,3,3 - trimethyl -- pentanol? CH C CH.CCH CH CH C CH CH (C) CH 3.CH CCH 3.C (D) CH.CH CCH C CH xrmgx 0 Cl C Et 3 alcohol. Value of x is NH4Cl 3 (C) 4 (D) (i) B H 6 (ii) H / - (C) (D)

17 PET-I ( ND YEAR)-019-MPC Which of the following reduction methods is not suitable for preparing an alcohol? CH3CC H5 NaBH 4 CH3CC H5 Na/Et Ni CH CH CCI LiAIH (D) CH C H (C) In the reaction, X CH 3 CH = CH CH CH 3 CH = CH CH the reagent x is H / Pt NaBH 4 (C) HI / P (D) PCC in CH Cl 87. Predict the product when given compound reacts with LiAIH 4 (C) (D)

18 PET-I ( ND YEAR)-019-MPC-18 H 3 C CH NaBH 4 ( X ) Product ( X ) is : C H Cl H 3 C CH 3 H CH 3 (C) (D) 89. Lower alcohols are soluble in water because, the structure is water like (C) it is polar it doesn t form precipitate with water (D) it forms H - bond with water 90. How many isomers of C 5 H 11 will be primary alcohols? 6 4 (C) (D) 3

19 PET-I ( ND YEAR)-019-MPC-19 FIITJEE PET I (REG_ ND YEAR) MATHEMATICS PHYSICS CHEMISTRY MAINS_SET A_ANSWERS DATE: A. D 3. B 4. B 5. A 6. B 7. B 8. C 9. B 10. C 11. C 1. B 13. C 14. B 15. C 16. B 17. C 18. Bonus 19. D 0. A 1. A. D 3. Bonus 4. D 5. B 6. C 7. C 8. C 9. A 30. Bonus 31. B 3. B 33. A 34. D 35. A 36. D 37. B 38. D 39. C 40. A 41. B 4. D 43. C 44. A 45. B 46. B 47. D 48. C 49. B 50. C 51. D 5. C 53. B 54. A 55. B 56. A 57. C 58. A 59. C 60. C 61. D 6. D 63. D 64. D 65. A 66. B 67. C 68. B 69. A 70. C 71. C 7. A 73. D 74. B or C 75. C 76. D 77. C 78. D 79. C 80. B 81. D 8. D 83. B 84. A 85. D 86. B 87. C 88. C 89. Bonus 90. B

20 PET-I ( ND YEAR)-019-MPC-0 FIITJEE PET I (REG_ ND YEAR) MAINS_SET B DATE: Time: 3 hours Maximum Marks: 360 INSTRUCTINS: Instructions to the Candidates 1. This Test Booklet consists of 90 questions. Use Blue/Black ball Point Pen only for writing particulars and bubbling of MR.. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted. 3. Attempt all questions. 4. In case you have not darkened any bubble you will be awarded 0 mark for that question. 5. Use of calculator/logarithmic table is not permitted. Don t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam. NAME: ENRLLMENT N.:

21 PET-I ( ND YEAR)-019-MPC-1 1. The coefficient of x m in (1 + x) p + (1 + x) p (1 + x) n, p m n is n + 1 C m + 1 n 1 C m 1 (C) n C m (D) n C m +_1. The value of x, for which the 6 th x1 log term in the expansion of (1/ 5) x1 log 3 1 equal to 4 3 (C) (D) 1 7 is 84 is 3. The coefficient of a 8 b 4 c 9 d 9 in the expansion of (abc + abd + acd + bcd) 10 is 10! 10! (C) 50 (D) None of these 8! 4!9!9! 4. The greatest value of the term independent of x, as varies over R, in the expansion of 0 sin xcos x is 0 C 10 0 C 15 (C) 0 C (D) 0 1 C The number of rational terms in the expansion of is. 1 (C) 3 (D) 4 6. If the fourth term in the expansion of x 1 1 logx1 1 x 6 is equal to 00 and x > 1, then x = (C) 1 (D) 7. If T r denotes the r th 1 term in the expansion of x, then y T 1 = T 13 x T 13 = T 1 (C) T 1 = xy. T 13 (D) T 1 + T 13 = 5 8. The coefficient of x 50 in the expansion of S = (1 + x) (1 + x) x (1 + x) x 1000 is 1000 C C 50 (C) 100 C 50 (D)

22 PET-I ( ND YEAR)-019-MPC- a 9. If the sum of middle terms is S in the expansion of a, then the value(s) of S is/are a (8 a) a (8 a) (C) a (8 a) (D) a (8 a) The positive value of a so that the coefficients of x 5 and x 15 are equal in the expansion of 1 1 (C) 1 (D) x a 3 x The coefficient of x 7 in the expansion of (1 x x + x 3 ) 6 is (C) 144 (D) The coefficient of x n in expansion of (1 + x)(1 x) n is (n 1) ( 1) n 1 n (C) ( 1) n 1 (n 1) (D) ( 1) n (1 n) 10 x Which term of is independent of x 3 x 3 (C) 4 (D) x 1 x The term independent of x (x > 0, x 1) in the expansion of / 3 1/ 3 x x 1 x x (C) 315 (D) is 1/ The sum of the rational terms in the expansion of 3 10 is (C) 50 (D) none of these 16. The coefficient of x 5 in (1 + x ) 5 (1 + x) 4 is (C) 60 (D) The term independent of x in the expansion of (1 + x + x 3 3x 1 ) is 3x 1/3 1/4 (C) 17/54 (D) 19/54

23 PET-I ( ND YEAR)-019-MPC If n = R and F = R [R], where [R] denotes the greatest integer less than or equal to R, then RF = 4 n n 1 (C) 0 n + 1 (D) 0 n The middle term of (1 3x + 3x x 3 ) n is 6n C 3n ( x) 3n n C n ( x) 3n (C) 5n C n ( x) 3n (D) 4n C 3n ( x) 3n 0. Number of term in expansion of (x + y + z) 1 is (C) 98 (D) none of these The number of nonzero terms in the expansion of is (C) 51 (D) 04. If 4 15 n = I + F when I, n are positive integers, 0 < F < 1, then (I + F)(I F) = 0 1 (C) 1 (D) 3. If the coefficient of (r + 4) th term is equal to the coefficient of (r ) th term in the expansion of (1 + x) 18, then r = 4 (C) 6 (D) 8 4. The coefficient of x 4 in the expansion of (1 + x ) 1 (1 + x 1 ) (1 + x 4 ) is 1 C 6 1 C 6 + (C) 1 C (D) 1 C The greatest binomial coefficient of (x 1/3 + 3x 7/ ) 31 is equal to the coefficient of x k in the expansion of (1 + x) 31. Then k = 13, 14 14, 15 (C) 15, 16 (D) 16, If the coefficients of r th term and (r + 1) th term in the expansion of (1 + x) 0 are in the ratio 1 :, then r= 6 7 (C) 8 (D) 9 7. If the coefficients of x 3 and x 4 in the expansion of (1 + ax + bx ) (1 x) 18 in powers of x are both zero, then (a, b) is equal to , 3 16, 3 (C) 16, 3 (D) 14, 3

24 PET-I ( ND YEAR)-019-MPC-4 8. The numerically greatest term of (3x + y) 11 when x = 3, y = 3 4 is 10 C C (C) 11 C (D) 11 C The value of the greatest term in 0 C C is (C) 15 C 6 3 (D) none of these 30. The coefficient of the middle term in the binomial expansion in powers of x of (1 + x) 4 and of (1 x) 6 is the same if = (C) (D) If the charge q is projected as shown in figure, in the given constant Electric field, What will be its most likely path. E -q. u z (C) (D)

25 PET-I ( ND YEAR)-019-MPC-5 3. Two small identical spheres having charges +10C and 90C attract each other with a force of F Newton. If they are kept in contact and then separated by the same distance, the new force between them is F/6 16F (C) 16F/9 (D) 9F 33. A ring of charge(uniformly distributed) with radius 0.5 m having a 0.0 m gap, carries a charge of +1 C. The field at the center is N/C (C) N/C N/C (D) N/C x x x x x x x x x x x x x 34. Two metal sphere of same mass are suspended from a common point by a light insulating string. The length of each string is same. The spheres are given electric charges +q on one end and +4q on the other. Which of the following diagram best shows the resulting positions of spheres?(neglect mass of the charges) +q +4q +q +4q +q +4q +4q 1 +q (C) (D) 35. Four charges equal to Q are placed at the four corners of a square and a change q is at its centre. If the system is in equilibrium, the value of q is Q Q Q Q (1 ) (1 ) (C) (1 ) (D) (1 ) 4 4

26 PET-I ( ND YEAR)-019-MPC Charge Q and Q are placed as shown in figure. The point at which electric field intensity is zero will be: Somewhere between Q and Q Somewhere on the left of Q (C) Somewhere on the right of Q (D) Somewhere on the right bisector of line joining Q and Q 37. Two charges are placed as shown the medium has dielectric constant r k qq 1 Force on q1 is r r kq1q Force on q is r (C) Force experienced by both charges is equal in magnitude (D) Both charges will apply equal and opposite force on each other. q q1 r. 38. In which of the following cases, Equilibrium of charge placed at centre is stable (given the direction of oscillation)? +q -Q +q -q -Q -q -q -Q -q (C) None (D)

27 PET-I ( ND YEAR)-019-MPC Find the force on 6.5 C charge placed at (3,1,5) due to -C charge placed at (0,5,-7) k ˆ ˆ ˆ k 3i 4j 1k 3i ˆ 4j ˆ 1kˆ k (C) ˆ ˆ ˆ k 3i 4j 1k 3i ˆ 4j ˆ 1kˆ (D) 40. Two spheres of mass m each and charge q are suspended as shown in fig (i). Another pair of charges q and -3q of same mass m are suspended as shown in fig (ii). X and Y are point below and ' such that B and respectively. The ratio BX CY equals. 9 1/9 (C) 3 (D) 1/3 ' Care perpendicular to BX and CY A q,m X r B q,m ' Y C q,m r -3q,m D 41. In a certain region of space, the potential is given by : V k x y z. The electric field at the point (1,1,1) has magnitude = k 6 k 6 (C) k 3 (D) 4k 3

28 PET-I ( ND YEAR)-019-MPC-8 4. A wheel having mass m has charges +q and q on diametrically opposite point. It remains in equilibrium on a rough inclined plane in the presence of uniform vertical electric field E = mg q (C) mgtan q mg q (D) None 43. Two particles X and Y, of equal mass and with unequal positive charges, are free to move and are initially far away from each other, With Y at rest, X begins to move towards it with initial velocity u. After a long time, finally X will stop, Y will move with velocity u X and Y will both move with velocities u/ each (C) X will stop, Y will move velocity <u (D) both will move with velocities < u/. 44. Two equal negative charges are fixed at the points [0,a] and [0,-a] on the y axis. A positive charge Q is released from rest at the point [a,0] on the x axis. The charge Q will execute simple harmonic motion about the origin move to the origin and remain at rest (C) move to infinity (D) execute oscillatory but not simple harmonic motion 45. The charge per unit length of the four quadrant of the ring is,, and respectively. The electric field at the centre is (C) î R 0 î 4 R 0 R 0 (D) None ĵ

29 PET-I ( ND YEAR)-019-MPC Infinite charges of magnitude q each are lying at x = 1,, 4, 8. metre on axis. The value of intensity of electric field at point x = 0 due to these charges will be qn/c zero (C) qn/c (D) qn/c Two charges each equal to q 3 are placed at the corners of an equilateral triangle of side a. The electric field at the third corner is E3 where (E0 q/ 4 0a ) E3 E0 E3 E0 (C) E3 E0 (D) None 48. A non conducting ring of radius 0.5 m carries a total charge of C distributed non uniformly on its circumference producing an electric field E every where in space. The value of the 0 Ed line integral ( 0 being centre of the ring) in volt is + 1 (C) (D) Zero 49. Equipotential surfaces are shown in figure. Then the electric filed strength will be Vm along X axis 100 Vm alongy axis (C) 1 00 Vm at angle 10 0 with X axis (D) 1 50Vm at an angle 0 10 with X axis 50. A body of mass one gram and carrying a charge 10 8 C passes through two points P and Q. The electrostatic potential at Q is zero volt. The velocity of the body at Q is 0. ms 1 and at P is 0.08 ms 1. The potential at P is 150 V 300 V (C) 600 V (D) 900 V 51. You are given an arrangement of three point charges q, q and xq separated by equal finite distances so that electric potential energy of the system is zero. Then the value of x is : /3 1/3 (C) /3 (D) 3/

30 PET-I ( ND YEAR)-019-MPC An equipotential surface and a line of force : never intersect each other intersect at 45º (C) intersect at 60º (D) intersect at 90º 53. The potential difference between points A and B in the given uniform electric field is : Ea E a b (C) Eb (D) Eb / 54. The dimensional formula of potential is MLT-Q-1 (C) MT-Q- MLT-Q-1 (D)MLT-1Q Figure represents a square carrying charges +q, +q, q, q at its four corners as shown. Then the potential will be zero at points A, B, C, P and Q A, B and C (C) A, P, C and Q (D) P, B and Q 56. The equation of a an equipotential line in electric field is y = x, then the electric field strength vector at (1,) may be 4i ˆ 3j ˆ 4i ˆ 8j ˆ (C) 8i ˆ 4j ˆ (D) 8i ˆ 4j ˆ

31 PET-I ( ND YEAR)-019-MPC Two point charges placed at a distance r in air exert a force F on each other. The value of distance R at which they experience force 4F when placed in a medium of dielectric constant K = 16 is : r r/4 (C) r/8 (D) r 58. Two point charges of the same magnitude and opposite sign are fixed at points A and B. A third small point charge is to be balanced at point P by the electrostatic force due to these two charges. The point P: lies on the perpendicular bisector of line AB is at the mid point of line AB (C) lies to the left of A (D) none of these. 59. If a positively charged pendulum is oscillating in a uniform electric field as shown in Figure. Its time period of SHM as compared to that when it was uncharged. Will increase Will decrease (C) Will not change (D) Will first increase then decrease 60. The variation of potential with distance r from a fixed point is shown in Figure. The electric field at r = 5 cm, is: (.5) V/cm (.5) V/cm (C) ( /5) V/cm (D) (/5) V/cm 61. Epoxides react with Grignard reagent to form 1 o alcohols o alcohols (C) 3 o alcohols (D) Any of these

32 PET-I ( ND YEAR)-019-MPC-3 6. Which of the following reacts with excess methyl magnesium bromide followed by acid hydrolysis to produce,3,3 - trimethyl -- pentanol? CH C CH.CCH CH CH C CH CH (C) CH 3.CH CCH 3.C (D) CH.CH CCH C CH xrmgx 0 Cl C Et 3 alcohol. Value of x is NH4Cl 3 (C) 4 (D) (i) B H 6 (ii) H / - (C) (D) 65. Which of the following reduction methods is not suitable for preparing an alcohol? CH3CC H5 NaBH 4 CH3CC H5 Na/Et Ni CH CH CCI LiAIH (D) CH C H (C) 3 4 HN 66. R NH R. Here R could be 3 CH CH 3 (C) (D) All

33 PET-I ( ND YEAR)-019-MPC C LiAlH4 A The no. of hydrogens added in the product A is equal to 6 4 (C) (D) CH 3 C CH C C H 5 [H] CH 3 CH CH CH The reducing agent suitable for above transformation is NaBH 4 LiAlH 4 (C) H /Ni, (D) Both B & C 69. Which of the following reactions yield primary alcohol? CH 3 CH + CH 3 MgX CH PCC CH Cl (C) CH 3 C(CH 3 ) = CH BH 6 / THF H / (D ) CH 3 CH CH Cl Alc. K 70. How many Isomeric alcohols with molecular formula C 4 H 10 are chiral in nature? 1 (C) 3 (D) Which of the following alcohol is less soluble among the following Methanol Ethanol (C) Propanol (D) Butanol 7. Which of the following does not give alcohol as a product NaBH4 aq.na CH3 CH CH CH RI aq. NaN /HCl H 3 (C) Ph CH NH (D) R Mgx

34 PET-I ( ND YEAR)-019-MPC Alcohol with high B.P among the following n butanol (C) butanol Isobutanol (D) n pentanol 74. Ph CH CH3 can be prepared by Ph CH CH3MgCl CH3CH PhMgBr (C) Ph CH CH3 MgCl (D) All Na/CH CH3 C CH5? CH 3 CH (C) CH 3 C 3 H 7 (D) both b & C 76. In the reaction, X CH 3 CH = CH CH CH 3 CH = CH CH the reagent x is H / Pt NaBH 4 (C) HI / P (D) PCC in CH Cl 77. Predict the product when given compound reacts with LiAIH 4 (C) (D)

35 PET-I ( ND YEAR)-019-MPC-35 H 3 C CH NaBH 4 ( X ) Product ( X ) is : C H Cl H 3 C CH 3 H CH 3 (C) (D) 79. Lower alcohols are soluble in water because, the structure is water like (C) it is polar it doesn t form precipitate with water (D) it forms H - bond with water 80. How many isomers of C 5 H 11 will be primary alcohols? 6 4 (C) (D) Which of the following plyhydric alcohol Ethanol Glycol (C) Sabitol (D) All

36 PET-I ( ND YEAR)-019-MPC How many of the following are 1 alcohol 1. Benzyl alcohol. allyl alcohol 3. Isobutanol 4. Cyclohexanol 5. Methanol 3 4 (C) 5 (D) 83. Which of the following statement is correct regarding boiling point of alcohols. It is directly proportional to molecular weight It is directly proportional to no. of groups (C) It is Inversely proportional branching for same molecular weight (D) All 84. (i) B D 6 /THF 18 (ii) H / 18 D D 18 D (C) (D) None 85. Ethyl alcohol is a commercial alcohol and is made unfit for drinking by adding CuS 4 N (C) both a & b (D) acetone dil. HCl 86. Ethene A B. Ag/ B =? Ethanol (C) Ethanal Ethene, 1, diol (D) Epoxyethane

37 PET-I ( ND YEAR)-019-MPC Which of the following is the best method to convert 3 methyl but 1 ene to 3 methyl but ol ACH HB (C) MDM (D) All 88. (i) LilAlD 4? (ii) H 3 + D (C) (D) Any of these 89. Et 1 Eq. LiAlH 4? Et (C) Et (D) Both b & c 90. Bayer's reagent? The no. of chiral carbons present in the product is 0 1 (C) (D) 3

38 PET-I ( ND YEAR)-019-MPC-38 FIITJEE PET I (REG_ ND YEAR) MATHEMATICS PHYSICS CHEMISTRY MAINS_SET B_ANSWERS DATE: A. D 3. Bonus 4. D 5. B 6. B 7. C 8. Bonus 9. D 10. A 11. A 1. D 13. B 14. B 15. A 16. C 17. C 18. C 19. A 0. Bonus 1. C. B 3. C 4. B 5. C 6. B 7. B 8. C 9. B 30. C 31. D 3. C 33. B 34. A 35. B 36. B 37. D 38. C 39. B 40. C 41. B 4. B 43. A 44. D 45. A 46. A 47. C 48. A 49. C 50. C 51. B 5. D 53. C 54. A 55. B 56. D 57. B 58. D 59. C 60. A 61. D 6. D 63. B 64. A 65. D 66. D 67. C 68. D 69. C 70. B 71. D 7. D 73. D 74. D 75. A 76. B 77. C 78. C 79. Bonus 80. B 81. C 8. A 83. D 84. B or C 85. C 86. B 87. C 88. B 89. A 90. C